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Finding the Fourth Proportional to 419,953.60, 629,930.40 and 242,806.60

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Solution

The fourth proportional to 419,953.60, 629,930.40 and 242,806.60 is: 364,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,953.60 : 629,930.40 = 242,806.60 : x
  2. Step 2: Convert to fraction form
    419,953.60/629,930.40 = 242,806.60/x
  3. Step 3: Cross multiply
    419,953.60x = 629,930.40 × 242,806.60
  4. Step 4: Simplify right side
    419,953.60x = 152,951,258,660.64
  5. Step 5: Solve for x
    x = 152,951,258,660.64/419,953.60
  6. Step 6: Final answer
    x = 364,209.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.